Continuous harmonic spaces

Journal of Music Theory

Volumn 51, Issue 2, 2007, Pages 277-332

  Callender, Clifton ^a  

^a FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67649932747     PISSN: 00222909     EISSN: None     Source Type: Journal    
DOI: 10.1215/00222909-2009-004     Document Type: Article

References (39)

1. Amiot, Emmanuel. 2007. "David Lewin and Maximally Even Sets." Journal of Mathematics and Music 1/3: 1-14
2. Buchler, Michael. 1997. "Relative Saturation of Subsets and Interval Cycles as a Means for Determining Set-Class Similarity." Ph.D. diss., University of Rochester
3. -2000. "Broken and Unbroken Interval Cycles and Their Use in Determining Pitch-Class Set Resemblance." Perspectives of New Music 38/2: 52-87
4. Bullough, R. K. 1961. "On Homometric Sets. I. Some General Theorems." Acta Crystallograph- ica 14: 257-68
5. Callender, Clifton. 2004. "Continuous Transformations." Music Theory Online 10/3
6. Callender, Clifton and Rachel Hall. 2007. "Homometric Sets and Z-related Chords." Paper presented at the American Mathematical Society National Conference, New Orleans
7. Callender, Clifton, Ian Quinn, and Dmitri Tymoczko. 2008. "Generalized Voice-Leading Spaces." Science 320: 346-48
8. Carter, Elliott. 2002. Harmony Book, ed. Nicholas Hopkins and John F. Link. New York: Carl Fischer
9. Castrén, Marcus. 1994. "RECREL: A Similarity Measure for Set-Classes." Ph.D. diss., Sibelius Academy
10. Cohn, Richard. 1991. "Properties and Generability of Transpositionally Invariant Sets." Journal of Music Theory 35: 1-32
11. -1998. "Square Dances with Cubes." Journal of Music Theory 42: 283-95
12. Grisey, Gérard. 1987. "Tempus ex Machina: A Composer's Reflection on Musical Time." Contemporary Music Review 2: 241-77
13. Hall, Rachel and Dmitri Tymoczko. 2007. "Poverty and Polyphony: A Connection between Music and Economics." Preprint available at http://www.sju.edu/rhall/povertypolyphony.pdf
14. Isaacson, Eric. 1990. "Similarity of Interval-Class Content between Pitch-Class Sets: The IcVSIM Relation." Journal of Music Theory 34: 1-28
15. -1996. "Issues in the Study of Similarity in Atonal Music." Music Theory Online 2/7. http://societymusictheory.org/mto/issues/mto. 96.2.7/mto.96.2.7.isaacson.html
16. Lewin, David. 1959. "Re: Intervallic Relations between Two Collections of Notes." Journal of Music Theory 3: 298-301
17. -1982. "On Extended Z-Triples." Theory and Practice 7: 38-39
18. -1987. Generalized Musical Intervals and Transformations. New Haven: Yale University Press
19. -1998. "Some Ideas about Voice Leading between Pcsets." Journal of Music Theory 42: 15-72
20. -2001. "Special Cases of the Interval Function between Pitch-Class Sets Xand Y." Journal of Music Theory 45: 1-29
21. Morris, Robert. 1979. "A Similarity Index for Pitch-Class Sets." Perspectives of New Music 18/1: 445-60
22. -1995. "Equivalence and Similarity in Pitch and Their Interaction with Pcset Theory." Journal of Music Theory 39: 207-43
23. Quinn, Ian. 2006. "General Equal Tempered Harmony (Introduction and Part I)." Perspectives of New Music 44/2: 114-58
24. -2007. "General Equal-Tempered Harmony (Parts II and III)." Perspectives of New Music 45/1: 4-63
25. Roeder, John. 1987. "A Geometric Representation of Pitch-Class Series." Perspectives of New Music 25/1-2: 362-409
26. Rogers, David. 1999. "A Geometric Approach to Pcset Similarity." Perspectives of New Music 37/1: 77-90
27. Rose, Francois. 1996. "Introduction to the Pitch Organization of French Spectral Music." Perspectives of New Music 34/2: 6-39
28. Rosenblat, Joseph. 1984. "Phase Retrieval." Communications in Mathematical Physics 39: 77-100
29. Rust, Douglas. 1995. "Conversation with Witold Lutoslawski." Musical Quarterly 79: 207-23
30. Scott, Damon and Eric J. Isaacson. 1998. "The Interval Angle: A Similarity Measure for Pitch-Class Sets." Perspectives of New Music 36/2: 107-42
31. Smith, Julius O., III. 2008. Mathematics of the Discrete Fourier Transform (DFT) with Audio Applications, 2nd ed. http://ccrma.stanford. edu/jos/mdft/
32. Soderberg, Stephen. 1995. "Z-Related Sets as Dual Inversions." Journal of Music Theory 39: 77-100
33. Straus, Joseph. 2003. "Uniformity, Balance, and Smoothness in Atonal Voice Leading." Music Theory Spectrum 25: 305-52
34. Stucky, Steven. 1981. Lutoslawski and His Music. Cambridge: Cambridge University Press
35. -2005. "Voice Leading in Set-Class Space." Journal of Music Theory 49: 45-108
36. Teitelbaum, Richard. 1965. "Intervallic Relations in Atonal Music." Journal of Music Theory 9: 72-127
37. Tymoczko, Dmitri. 2006. "The Geometry of Musical Chords." Science 313: 72-74
38. -2008. "Voice Leading and the Fourier Transform." Journal of Music Theory 52, in press
39. Vuza, Dan Tudor. 1993. "Supplementary Sets and Regular Complementary Unending Canons (Part Four)." Perspectives of New Music 31/1: 270-305